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Finding the Fourth Proportional to 205,312.90, 307,940.55 and 65,085.70

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Solution

The fourth proportional to 205,312.90, 307,940.55 and 65,085.70 is: 97,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,312.90 : 307,940.55 = 65,085.70 : x
  2. Step 2: Convert to fraction form
    205,312.90/307,940.55 = 65,085.70/x
  3. Step 3: Cross multiply
    205,312.90x = 307,940.55 × 65,085.70
  4. Step 4: Simplify right side
    205,312.90x = 20,042,526,255.14
  5. Step 5: Solve for x
    x = 20,042,526,255.14/205,312.90
  6. Step 6: Final answer
    x = 97,619.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.